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# dev32384 - p 3 x of degree 3 with coeﬃcients to 5 decimal...

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MAT 2384A-Fall 2009-Homework #3 To be submitted in class on Friday, October 9 Question 1. Solve each of the following IVP. 1. y 00 - 2 y 0 = 0 , y (0) = 0 , y 0 (0) = - 4 2. y 00 + 4 y 0 - 21 y = 0 , y (0) = 1 , y 0 (0) = 23 3. y 00 + 6 y 0 + 9 y = 0 , y (0) = 4 , y 0 (0) = - 9 4. y 00 + 3 y = 0 , y (0) = 2 , y 0 (0) = 3 5. y 00 - 6 y 0 + 13 y = 0 , y (0) = 2 , y 0 (0) = 0 6. y 00 - 2 2 y 0 + 2 y = 0 , y (0) = 0 , y 0 (0) = π Question 2. The following data points are of the form ( x i , f i ) where f i = f ( x i ) for some un- known function f . Using Newton divided difference interpolation polynomial
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Unformatted text preview: p 3 ( x ) of degree 3 with coeﬃcients to 5 decimal places , give an estimate to f (0 . 9): (0 . 6 ,-. 17694) , (0 . 70 , . 01375) , (0 . 8 , . 22363) , (1 . , . 65809) . Moreover, if 0 . 0124 ≤ | f (4) ( t ) | ≤ . 2342, give the error bounds for your estimate of f (0 . 9). 1...
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